I had to read this a couple of times to see this was not about time, but is a right triangle problem. If the hour hand is at three, let us consider that a leg of a right triangle, we will consider the hypotenuse as the second hand.
Sketch the picture.
The hypotenuse is 9 cm. the angle is found by:
the (hour hand) is pointing directly at the 12. I expect you mean the minute hand. The angle between the minute hand and the second hand is 25/60*360 = 150 which make the angle between the hour hand and the second hand. 150 -90 =60
so the second hand and the hour hand gives us a right triangle, with a 60 degree angle and a hyp. of 9 cm.
cos 60 = x/9
9 cos 60 =x
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x = 4.5 cm
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Answer:
It is an exponential function.
Initial value is - 1.8 and the base is 6.
Step-by-step explanation:
The function is given by
and it is an exponential function as the general form of an exponential function is
.
Here, if we put x = 0, the function becomes
.
Therefore, the initial value of the function is - 1.8.
In the general equation of exponential function
, b is called the base and x is the exponent.
Therefore, in our case the base of the function
is 6. (Answer)
Y=mx + b
m is the slope
The slope of line 1 is 1/2
The slope of line 2 is 2
<span>75 + 45
First let's find the greatest common factor.
75: 1, 3, 5, 15, 25, 75
45: 1, 3, 5, 9, 15, 45
Their GCF is 15.
To get 75, you multiply 15 by 5.
To get 45, you multiply 15 by 3.
Therefore, 15(5 + 3) = 75 + 45.
</span><span>B. 15(5 + 3)
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Answer:
The answer is the first option; 6^1/12
Step-by-step explanation:
We can simplify the question by using the radical rule to rewrite it as
6^1/3 ÷ 6^1/4
Then we use exponent rule which states that when we are dividing exponents of the same base, we have to subtract them. We see that the exponents are 1/3 and 1/4. So we use basic fractional division, here's the subtraction:
= 1/3 - 1/4
= 4/3 - 3/4 (we criss-crossed)
= 1/12 (we subtracted the denominators and multiplied the denominators)
Now that we have subtracted the exponents, we can write the answer as 6^1/12